This chapter introduces a hierarchical interaction representation (HIR) model, which treats the interaction among different entities and contexts as representation. This model generates the interaction representation of two entities via tensor multiplication, which is performed iteratively to construct a hierarchical structure among all entities and contexts. Moreover, the model employs several hidden layers to reveal the underlying properties of this interaction representation and enhance the model performance further. After generating the final representation, the prediction can be calculated using a variety of machine learning methods according to different application tasks (e.g., linear regression for regression tasks, pair-wise ranking method for ranking tasks, and logistic regression for classification tasks).
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